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Finding the Third Proportional to 46,827 and 71,804.25

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Solution

The third proportional to 46,827 and 71,804.25 is: 110,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,827 : 71,804.25 = 71,804.25 : x
  2. Step 2: Convert to fraction form
    46,827/71,804.25 = 71,804.25/x
  3. Step 3: Cross multiply
    46,827x = 71,804.25 × 71,804.25
  4. Step 4: Simplify right side
    46,827x = 5,155,850,318.06
  5. Step 5: Solve for x
    x = 5,155,850,318.06/46,827
  6. Step 6: Final answer
    x = 110,104.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.